A factor of safety of 2.5 is used for the bolts in the assembly below. The ultimate shear stress of the magnesium alloy bolts is 20.0ksi. What should be the diameter of the bolts? 10 kip 5 kip 3 kip

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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### Determining Bolt Diameter for Safety in Structural Assemblies

#### Problem Description:
A factor of safety of 2.5 is used for the bolts in the assembly shown below. The ultimate shear stress of the magnesium alloy bolts is 20.0 ksi. What should be the diameter of the bolts?

#### Assembly Diagram:
- **Description:** The diagram shows a three-layered assembly held together by a bolt.
- **Forces:**
  - A leftward force of 10 kip is applied on the left side of the top layer.
  - Two rightward forces of 5 kip each are applied on the lower layers.
  
#### Calculation Objective:
Determine the appropriate diameter for the bolts to ensure structural integrity and safety.

#### Solution Steps:
1. **Determine Allowable Shear Stress:**
   - Calculate the allowable shear stress using the ultimate shear stress and the factor of safety.
   
2. **Calculate Required Bolt Area:**
   - Use the allowable shear stress to determine the required cross-sectional area of the bolt.

3. **Find Bolt Diameter:**
   - Use the area to find the necessary diameter of the bolt.

#### Result:
- **Diameter = __________ in**

Please fill in the computed diameter based on the provided data and calculations.
Transcribed Image Text:### Determining Bolt Diameter for Safety in Structural Assemblies #### Problem Description: A factor of safety of 2.5 is used for the bolts in the assembly shown below. The ultimate shear stress of the magnesium alloy bolts is 20.0 ksi. What should be the diameter of the bolts? #### Assembly Diagram: - **Description:** The diagram shows a three-layered assembly held together by a bolt. - **Forces:** - A leftward force of 10 kip is applied on the left side of the top layer. - Two rightward forces of 5 kip each are applied on the lower layers. #### Calculation Objective: Determine the appropriate diameter for the bolts to ensure structural integrity and safety. #### Solution Steps: 1. **Determine Allowable Shear Stress:** - Calculate the allowable shear stress using the ultimate shear stress and the factor of safety. 2. **Calculate Required Bolt Area:** - Use the allowable shear stress to determine the required cross-sectional area of the bolt. 3. **Find Bolt Diameter:** - Use the area to find the necessary diameter of the bolt. #### Result: - **Diameter = __________ in** Please fill in the computed diameter based on the provided data and calculations.
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